Question

a line passes through (8,-4) and has a slope 2/3. what is an equation in point slope form of the line? An equation of the line is?

Answer 1

from the question

x₁ = x-coordinate = 8

y₁ = y-coordinate = - 4

m = slope of line = 2/3

slope form of the line is given as

(y - y₁ ) = m (x - x₁)

inserting the values

(y - (- 4) ) = (2/3) (x - 8)

(3) (y + 4) = (2) (x - 8)

multiplying each term inside the bracket by 3  and 2 respective on left and right side

3y + 12 = 2 x - 16

2 x - 3 y - 16 - 12 = 0

2 x - 3 y - 28 = 0